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Finding the Fourth Proportional to 6,509.13, 9,764.10 and 2,613.03

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Solution

The fourth proportional to 6,509.13, 9,764.10 and 2,613.03 is: 3,919.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.13 : 9,764.10 = 2,613.03 : x
  2. Step 2: Convert to fraction form
    6,509.13/9,764.10 = 2,613.03/x
  3. Step 3: Cross multiply
    6,509.13x = 9,764.10 × 2,613.03
  4. Step 4: Simplify right side
    6,509.13x = 25,513,886.22
  5. Step 5: Solve for x
    x = 25,513,886.22/6,509.13
  6. Step 6: Final answer
    x = 3,919.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.